In a circle, if an are of length 220 cm subtends an angle of measure `63^(@)` at the centre ,then determine the radius of the circle.

In a circle, if an are of length 220 cm subtends an angle of measure `

1.	In a circle, if an are of length 220 cm subtends an angle of measure `63^(@)` at the centre ,then determine the radius of the circle.
Answer» `63^(@)` is made by the are 220 cm `therefore 1^(@)" is made is by are" (220)/(63)` cm `therefore 360^(@)"is made by the are" (220xx360)/(63) cm =(8800)/(7) cm` `therefore "the perimeter of the circle" =(8800)/(7)cm` Let r be the radius of the circule. `therefore 2pi=(8800)/(7) or, 2xx(22)/(7)xxr=(8800)/(7)` or, r=200. Hence the radius of the circle =200 cm.